We apply three indexes to evaluate the performance of the closed-loop system under the different controllers. These indexes are total travel time (TTT), fuel consumption and driving comfort defined as follows[1]}:
\(J_{\mathrm {TTT}} & = \int _{0}^{T} \int _{0}^{L} \rho (x, t) d x d t, \\J_{\text{fuel }} & = \int _{0}^{T} \int _{0}^{L} \xi (x, t) \cdot \rho (x, t) d x d t,\\J_{\text{comfort }} & = \int _{0}^{T} \int _{0}^{L}\left(a(x, t)^{2}+a_{t}(x, t)^{2}\right) \rho (x, t) d x d t,\) 
